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34346348749 is a prime number
BaseRepresentation
bin11111111111001100…
…111011000011001101
310021122122201021222201
4133333030323003031
51030320131124444
623440053241501
72324064101356
oct377714730315
9107578637881
1034346348749
1113625689199
1267a6633291
133314991aab
14193b798d2d
15d604b5dd4
hex7ff33b0cd

34346348749 has 2 divisors, whose sum is σ = 34346348750. Its totient is φ = 34346348748.

The previous prime is 34346348741. The next prime is 34346348807. The reversal of 34346348749 is 94784364343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25549784649 + 8796564100 = 159843^2 + 93790^2 .

It is a cyclic number.

It is not a de Polignac number, because 34346348749 - 23 = 34346348741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34346348749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34346348741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17173174374 + 17173174375.

It is an arithmetic number, because the mean of its divisors is an integer number (17173174375).

Almost surely, 234346348749 is an apocalyptic number.

It is an amenable number.

34346348749 is a deficient number, since it is larger than the sum of its proper divisors (1).

34346348749 is an equidigital number, since it uses as much as digits as its factorization.

34346348749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20901888, while the sum is 55.

The spelling of 34346348749 in words is "thirty-four billion, three hundred forty-six million, three hundred forty-eight thousand, seven hundred forty-nine".